Elliptic Curve Digital Signature Algorithm: Difference between revisions

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An [[wp:Elliptic_curve|elliptic curve]] E over ℤp (p ≥ 5) is defined by an equation of the form
An [[wp:Elliptic_curve|elliptic curve]] E over ℤp (p ≥ 5) is defined by an equation of the form
'''y^2 = x^3 + ax + b''', where a, b ∈ ℤp and the discriminant ≢ 0 (mod p),
'''y²= x³ + ax + b''', where a, b ∈ ℤp and the discriminant ≢ 0 (mod p),
together with a special point 𝒪 called the point at infinity.
together with a special point 𝒪 called the point at infinity.
The set '''E(ℤp)''' consists of all points (x, y), with x, y ∈ ℤp,
The set '''E(ℤp)''' consists of all points (x, y), with x, y ∈ ℤp,